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Finding the Fourth Proportional to 186,770.15, 257,741.62 and 106,197.67

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Solution

The fourth proportional to 186,770.15, 257,741.62 and 106,197.67 is: 146,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,770.15 : 257,741.62 = 106,197.67 : x
  2. Step 2: Convert to fraction form
    186,770.15/257,741.62 = 106,197.67/x
  3. Step 3: Cross multiply
    186,770.15x = 257,741.62 × 106,197.67
  4. Step 4: Simplify right side
    186,770.15x = 27,371,560,287.61
  5. Step 5: Solve for x
    x = 27,371,560,287.61/186,770.15
  6. Step 6: Final answer
    x = 146,552.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.